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212132 = 22181293
BaseRepresentation
bin110011110010100100
3101202222202
4303302210
523242012
64314032
71542314
oct636244
9352882
10212132
11135418
12a2918
137572b
1457444
1542cc2
hex33ca4

212132 has 12 divisors (see below), whose sum is σ = 374556. Its totient is φ = 105120.

The previous prime is 212131. The next prime is 212141. The reversal of 212132 is 231212.

It is a happy number.

212132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 119716 = 304^2 + 346^2 .

It is not an unprimeable number, because it can be changed into a prime (212131) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 578 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (31213).

2212132 is an apocalyptic number.

It is an amenable number.

212132 is a deficient number, since it is larger than the sum of its proper divisors (162424).

212132 is a wasteful number, since it uses less digits than its factorization.

212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 476 counting only the distinct ones).

The product of its digits is 24, while the sum is 11.

The square root of 212132 is about 460.5778978631. The cubic root of 212132 is about 59.6396924913.

Adding to 212132 its reverse (231212), we get a palindrome (443344).

The spelling of 212132 in words is "two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 181 293 362 586 724 1172 53033 106066 212132